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If `hata,hatb and hatc` are three unit vectors inclined to each other at an angle `theta`. The maximum value of `theta` is

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If `hata,hatb and hatc` are three unit vectors inclined to each other at an angle `theta`. The maximum value of `theta` is
A. `pi/3`
B. `pi/2`
C. `(2pi)/3`
D. `(5pi)/5`
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Correct Answer - c
`(hata+hatb + hatc)^(2)ge0`
`3+2(hata.hatb+vecb.hatc+vecc.veca)ge0`
` 3 + 6 cos theta ge 0`
`cos theta ge - 1/2`
`Rightarrow theta= (2pi)/3`
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